{
  "annotation_id": "6fd2c94a-248c-4d9a-bf98-6907e21e7a39",
  "date_created": "2026-03-02T18:02:03.630000Z",
  "date_modified": "2026-03-02T18:02:03.630000Z",
  "file_hash": "ef8833ce404f9ba5d1386312bea3199ae997ff871131985f7eb9ddb8fb2c3450",
  "private": false,
  "record": {
    "abstract": "We consider the maximal p-norm associated with a completely positive map and\nthe question of its multiplicativity under tensor products. We give a condition\nunder which this multiplicativity holds when p = 2, and we describe some maps\nwhich satisfy our condition. This class includes maps for which\nmultiplicativity is known to fail for large p.\n  Our work raises some questions of independent interest in matrix theory;\nthese are discussed in two appendices.",
    "arxiv_id": "quant-ph/0401026",
    "authors": [
      "Christopher King",
      "Mary Beth Ruskai"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "journal_ref": "Quantum Inf. Comput. 4, 500-512 (2004)",
    "title": "Comments on multiplicativity of maximal p-norms when p = 2",
    "url": "https://arxiv.org/abs/quant-ph/0401026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "76a7839d-b1be-4da6-b622-2aae3ccabea4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}